Respuesta :

ANSWER;

Converse; Exterior alternate angles are equal

[tex]x\text{ = 3}[/tex]

EXPLANATION;

Here, we want to get the value of x given that the lines l and m are parallel

From the diagram given, we can see that;

[tex]15x\text{ +29 = 26x-4}[/tex]

The reason for this is that they are a pair of exterior alternate angles

Mathematically, exterior alternate angles are equal

From here, we can proceed to solve for the value of x;

[tex]\begin{gathered} 26x-15x\text{ = 29+4} \\ 11x=33 \\ x\text{ = }\frac{33}{11} \\ x\text{ = 3} \end{gathered}[/tex]